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Finding the Third Proportional to 563.84 and 853.03

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Solution

The third proportional to 563.84 and 853.03 is: 1,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.84 : 853.03 = 853.03 : x
  2. Step 2: Convert to fraction form
    563.84/853.03 = 853.03/x
  3. Step 3: Cross multiply
    563.84x = 853.03 × 853.03
  4. Step 4: Simplify right side
    563.84x = 727,662.31
  5. Step 5: Solve for x
    x = 727,662.31/563.84
  6. Step 6: Final answer
    x = 1,290.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.